# Stored data for newform 201.3.k.a, downloaded from the LMFDB on 23 April 2024. {"label": "201.3.k.a", "space_label": "201.3.k", "level": 201, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 687245099209, "dim": 440, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 22, "char_parity": -1, "char_degree": 10, "char_conductor": 201, "char_orbit_label": "k", "char_is_real": false, "Nk2": 1809, "analytic_conductor": 5.476853313641968, "level_radical": 201, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [201, 22, [68, 136], [11, 8]], "inner_twist_count": 4, "level_primes": [3, 67], "conrey_indexes": [14, 59, 62, 89, 92, 107, 131, 143, 149, 158], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 44, "sato_tate_group": "2.2.3.c22", "trace_display": [0, -11, 0, -30], "traces": [440, 0, -11, 70, 0, -17, -30, 0, -15, -34, 0, -123, 10, 0, 19, -226, 0, -33, -100, 0, 85, -454, 0, -251, 142, 0, -53, 642, 0, -80, -130, 0, 104, 26, 0, 67, -144, 0, 117, -182, 0, 193, -156, 0, 341, -746, 0, -485, -354, 0, -125, 1130, 0, 272, -590, 0, 15, -274, 0, -217, -1134, 0, 279, 58, 0, 1288, 0, 0, -87, 1038, 0, -977, 1208, 0, -751, 1126, 0, -11, 678, 0, 125, 510, 0, 191, 166, 0, 1080, 62, 0, -105, 550, 0, 635, 986, 0, -1632, -112, 0, -500, -2606, 0, -995, -318, 0, 584, -498, 0, 1415, -546, 0, -414, -24, 0, -2254, 554, 0, -2137, 298, 0, -1358, -484, 0, 561, -6, 0, -1542, 230, 0, -1455, 158, 0, -2315, -3044, 0, -204, -350, 0, -484, 1154, 0, 2489, 2750, 0, 3777, 840, 0, 955, -1250, 0, 3573, -470, 0, 2174, -1906, 0, 2970, 766, 0, -2582, -18, 0, -4302, 452, 0, 1311, 1458, 0, 2943, -346, 0, 826, -748, 0, 1293, -2260, 0, 1771, 530, 0, 4304, 664, 0, -2266, 5362, 0, -909, -1682, 0, 844, 616, 0, 6026, -280, 0, 1927, 982, 0, 3376, 2434, 0, -121, 1700, 0, -808, 980, 0, -1228, -4438, 0, -4076, -1414, 0, -1881, -3678, 0, -4172, -422, 0, -3083, -7210, 0, -3925, 1168, 0, -1960, 7566, 0, -2932, 5540, 0, 784, -310, 0, 7029, -1162, 0, 959, -6708, 0, 6923, -4642, 0, -376, -9108, 0, -2875, -510, 0, -3765, -3990, 0, -4558, -1902, 0, 1367, 3022, 0, -885, -5246, 0, 706, -2470, 0, -1597, -2044, 0, 4934, -3190, 0, -5807, 262, 0, -2393, 1696, 0, -4380, 4750, 0, -1103, 4412, 0, 5561, 1908, 0, 1443, 10898, 0, 5691, 2234, 0, -458, 4606, 0, -4013, 9278, 0, -1472, 6596, 0, -5648, -4134, 0, -3570, -614, 0, -6582, -5386, 0, 3055, 3094, 0, -5302, 1336, 0, 2347, 1734, 0, -4362, 6240, 0, -203, -7522, 0, -831, 626, 0, -93, -8460, 0, 813, 2014, 0, -5968, -4152, 0, -3140, 5558, 0, 305, 14072, 0, 1868, 2266, 0, 2102, 3890, 0, 11637, -9484, 0, 6894, -2638, 0, 6877, -12982, 0, -2059, -1226, 0, -5663, 84, 0, -305, 7828, 0, 6624, 2306, 0, 7886, 1612, 0, 21746, 2308, 0, 14892, -2364, 0, 11466, 4026, 0, 382, 2640, 0, -8807, 3734, 0, 1993, 4644, 0, -639, -6114, 0, 61, -1508, 0, 6560, 1858, 0, 2925, 14614, 0, 3949, 1476, 0, -2201, 3246, 0, -1274, -4094, 0, -8108, -7040, 0, -6149, -5954, 0, -1100, -9652, 0, -11629, -3674, 0, -2567, 466, 0, -7025, -142, 0, -4704, -2334, 0, -12912, -676, 0, 1087, -21284, 0, -4162, -10184, 0, 8399, -15228, 0, -7136, -5782, 0, -1972, 6852, 0, -3323, 9086, 0, -4746, -7922, 0, 5227, -1072, 0, -2705, -32, 0, 21532, -6234, 0, -1345, -10050, 0, 2654, -12980, 0, -7517, -758, 0, -10399, 2030, 0, -2790, 12130, 0, -17800, 4240, 0, 10097, 7326, 0, 2783, 4670, 0, 10556, 11850, 0, -4298, 5526, 0, -7052, 8154, 0, -23220, 9204, 0, -11215, -5098, 0, -7657, 2374, 0, -24154, -6698, 0, 5254, 4086, 0, -9137, 4430, 0, 5813, 11550, 0, -4720, 8740, 0, -8729, 186, 0, 937, 6274, 0, 4345, -12310, 0, 1612, 6334, 0, -9601, -3116, 0, -2360, 16650, 0, -12206, 1258, 0, 3063, 9080, 0, 8048, 8834, 0, 16669, -21084, 0, 21124, -3486, 0, 5019, -23786, 0, 3916, 12354, 0, 3599, 21746, 0, 8682, 17460, 0, 10073, 24786, 0, 21071, 432, 0, 23746, 20972, 0, 42185, -11434, 0, 12294, 29366, 0, -4465, -6540, 0, -14593, 2572, 0, 11635, 9808, 0, 784, 1292, 0, 7092, -2950, 0, 5469, -10874, 0, 15567, 15304, 0, 6501, 2972, 0, 3016, 1984, 0, 1818, -8806, 0, -27946, -350, 0, -7599, -34588, 0, -6012, -14486, 0, -4048, -15756, 0, -15296, -2808, 0, -8197, -21026, 0, 9491, -13900, 0, -10066, -9660, 0, 11454, -9906, 0, -8300, -92244, 0, 17901, -27686, 0, -10090, -14462, 0, -21127, -7776, 0, -2905, 4692, 0, -18529, -4730, 0, 5162, 3482, 0, -15787, -106, 0, 21271, -7762, 0, -10705, 6356, 0, 1392, -5830, 0, -22804, 2334, 0, -2316, -7194, 0, -4006, 26210, 0, -21269, -1886, 0, 26009, 2830, 0, -1744, 2852, 0, 20275, 5542, 0, -15503, 25456, 0, -11667, -5472, 0, -14786, 24288, 0, -15031, -5110, 0, -850, 11898, 0, -24438, -12778, 0, 13108, 36984, 0, -19598, 10540, 0, 7264, 6918, 0, -6932, 21772, 0, -3358, -13170, 0, -4598, 12326, 0, 8601, -47770, 0, 15855, 6530, 0, -19893, -7748, 0, -1276, 4730, 0, -2792, 14040, 0, 17153, 8234, 0, 2873, 43584, 0, 37038, -4900, 0, 8552, 20322, 0, 21328, -2190, 0, -3134, 25126, 0, 4823, 3272, 0, 10724, 32996, 0, 12936, 26482, 0, 13274, -3612, 0, 47112, 22508, 0, 29367, -23774, 0, 36681, 8970, 0, 8123, -18050, 0, 1965, -1818, 0, 9164, 3092, 0, -13233, 2676, 0, 20421, -13528, 0, 10873, -9750, 0, 11205, 16138, 0, 5610, 1804, 0, -230, 9948, 0, 7684, -9338, 0, -23831, -19874, 0, 511, -28506, 0, -5279, -4938, 0, -5095, -438, 0, -11090, -14270, 0, -29244, 11230, 0, -8711, 8158, 0, -27560, -4842, 0, 4842, -9976, 0, -39491, -31124, 0, 11536, -61636, 0, -37174, -24550, 0, -17945, 10646, 0, -14157, 8048, 0, -27634, -25958, 0, 2283, -5704, 0, -18441, -30246, 0, 46187, -2878, 0, -23066, -26752, 0, 23970, -3036, 0, -15551, 8036, 0, -11551, -14546, 0, -11641, 71428, 0, -39370, 8278, 0, 17546, 2460, 0, -29552, 800, 0, 18350, 34372, 0, -23564, 14350, 0, -3943, -11954, 0, -63494, 4472, 0, -31003, -15910, 0, 2992, 24800, 0, -15732, -57516, 0, 38780, 16938, 0, -19155, 37246, 0, 17478, -3516, 0, -761, 19666, 0, -4179, -18274, 0, 9134, 49920, 0, -5453, -20696, 0, 14531, 35722, 0, -34420, -9160, 0, -3210, 47760, 0, -20738, 2284, 0, 10325, 14766, 0, 31885, 23020, 0, 20535, -29020, 0, 26165, 8100, 0, 11534, -28214, 0, 28083, 16114, 0, 4527, 5472, 0, 7814, 20156, 0, 10777, 12172, 0, 28047, 6056, 0, 43336, 26468, 0, 54612, -26814, 0, 14596, 14004, 0, 14835, -23818, 0, -3654, 23294, 0, 45074, -8798, 0, 13067, -13416, 0, 27993, -6266, 0, 7955, -28718], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 67, 5, 1, 11, 0], [1, 1, 201, 11, -1, 22, 0]], "char_orbit_index": 11, "prim_orbit_index": 11, "minimal_twist": "201.3.k.a", "char_is_minimal": true, "conrey_index": 14, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}